Time-dependent restricted-active-space configuration-interaction method for the photoionization of many-electron atoms

Time-Dependent Real-Space Renormalization Group Method

In this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent Hamiltonians. We drive the time-dependent recursion relations for the renormalized tight-binding Hamiltonian by decimating selective sites of lattice iteratively. The formalism is then used for the calculation of the local density of electronic states for a one dimensional quant...

The Variational Splitting Method for the Multi-Configuration Time-Dependent Hartree-Fock Equations for Atoms

Abstract: We discuss the numerical approximation of the solution to the multiconfiguration time-dependent Hartree-Fock (MCTDHF) equations in quantum dynamics. The associated equations of motion, obtained via the Dirac–Frenkel time-dependent variational principle, consist of a coupled system of low-dimensional nonlinear partial differential equations and ordinary differential equations. We exten...

Calculations of the Relativistic Effects in Many-Electron Atoms and Space-Time Variation of Fundamental Constants

Theories unifying gravity and other interactions suggest the possibility of spatial and temporal variation of physical “constants” in the Universe. Detection of high-redshift absorption systems intersecting the sight lines towards distant quasars provide a powerful tool for measuring these variations. We have previously demonstrated that high sensitivity to the variation of the fine structure c...

Two-electron photoionization of endohedral atoms

Using He@C60 as an example, we demonstrate that static potential of the fullerene core essentially alters the cross section of the two-electron ionization differential in one-electron energy dσ++(ω)/dε. We found that at high photon energy prominent oscillations appear in it due to reflection of the second, slow electron wave on the C60 shell, which ”dies out” at relatively high ε values, of abo...

Many- Electron Harmonium Atoms